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lara31 [8.8K]
3 years ago
7

ANSWER PLEASE 100 POINTS

Mathematics
2 answers:
Fudgin [204]3 years ago
8 0

Answer: multiplication property of equality

Step-by-step explanation:

in the equation 2(x-3)=18

it should be 2x-6=18

x=12 by the way

gulaghasi [49]3 years ago
3 0

Answer:

multiplication property of equality

Step-by-step explanation:

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10. Determine the open interval(s) on which the function f(x) = 12x - x^3 is increasing.
Gre4nikov [31]

Answer:

\large\boxed{x\in(-2,\ 2)}

Step-by-step explanation:

f(x)=12x-x^3

Calculate the derivative of the function:

f'(x)=\left(12x-x^3\right)'=(12x)'-\left(x^3\right)'=12-3x^2

Calculate the zeros of the derivative:

f'(x)=0\Rightarrow12-3x^2=0\qquad\text{add}\ 3x^2\ \text{to both sides}\\\\3x^2=12\qquad\text{divide both sides by 3}\\\\x^2=4\to x=\pm\sqrt4\\\\x=\pm2

Let's check the derivative sign:

f'(x)>0\iff12-3x^2>0\qquad\text{use the distributive property}\\\\-3(x^2-4)>0\\\\-3(x^2-2^2)>0\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\-3(x-2)(x+2)>0\\^{\qquad x=2\qquad x=-2

Sketch a parabola open down

(before the brackets there is the number -3 < 0)

Look at the picture.

Where the derivative is negative, the function decreases.

Where the derivative is positive, the function increases.

Therefore your answer is:

x\in(-2,\ 2)

3 0
4 years ago
Please help me anyone ;(
Sergio039 [100]

Answer:

9 tables

Step-by-step explanation:

All we have to do is see how many time 6³/₄ ft. can fit in 60³/₄ ft. through division.

60 ³/₄ ÷ 6 ³/₄ =

²⁴³/₄ ÷ ²⁷/₄ =

²⁴³/₄ × ⁴/₂₇ =

²⁴³/₂₇ =

9 tables

5 0
3 years ago
Are these functions or not functions
mariarad [96]
A is a function because you have a different value for x.
B is not a function because you can't have the x value have a number twice, in this case it's 2.
C is not a function for the same reason as B.
D is a function because there is always a different x value.

Hope I didn't mess up for your sake
7 0
4 years ago
What is 16kg +2,800g
stira [4]
The answer is 18,800 g

16kg is the same as 16,000g Then add that to 2,800g
7 0
3 years ago
Claires is paid $90 for five hours of work at this rate how many seconds does it take for her to earn $.25
maria [59]

First find her rate per hour by dividing $90 by 5 hours:

90 / 5 = 18

She makes $18 in one hour.


1 hour = 3600 seconds.

Divide her hourly rate by 3600 to find how much she makes per second:

18 / 3600 = $0.005 per second.


Now divide $0.25 by 0.005 to find the number of seconds needed:

0.25 / 0.005 = 50


It takes 50 seconds.

3 0
4 years ago
Read 2 more answers
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